The Derived Marsden-Weinstein Quotient is Symplectic

Published 29 May 2012 in math.AG, math.RT, and math.SG | (1205.6519v1)

Abstract: Let $(X,\omega_X)$ be a derived scheme with a 0-symplectic form and suppose there is a Hamiltonian $G$-action with a moment map for $G$ a reductive group. We prove, under no further assumptions, that symplectic reduction along any coadjoint orbit in the category of derived Artin stacks has a 0-symplectic form.

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Jeremy Pecharich

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